Uncertainty relation of mixed states by means of Wigner-Yanase-Dyson information

Abstract

The variance of an observable in a quantum state is usually used to describe Heisenberg uncertainty relation. For mixed states, the variance includes quantum uncertainty and classical uncertainty. By means of the skew information and the decomposition of the variance, a stronger uncertainty relation was presented by Luo in [Phys. Rev. A 72, 042110 (2005)]. In this paper, by using Wigner-Yanase-Dyson information which is a generalization of the skew information, we propose a general uncertainty relation of mixed states.

7 pages, no figures, submitted to PRA

References in corpus (2)

• The Wigner-Yanase entropy is not subadditive
• Intrinsic metrological resolution as a distance measure and nonclassical light

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• Uncertainty relations based on Wigner-Yanase skew information
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• Uncertainty Relations in Pre- and Post-Selected Systems
• Stronger uncertainty relations with improvable upper and lower bounds
• Average coherence with respect to complementary measurements